TS EAMCET · Maths · Probability
A die is thrown thrice. If getting 1 or 6 in a single throw is considered as success, then the variance of the number of successes is
- A 1
- B \(\frac{5}{3}\)
- C \(\frac{2}{3}\)
- D \(\frac{2}{9}\)
Answer & Solution
Correct Answer
(C) \(\frac{2}{3}\)
Step-by-step Solution
Detailed explanation
\(P(\) getting 1 or 6\()=p=\frac{2}{6}=\frac{1}{3}\) \(\therefore \quad q=1-\frac{1}{3}=\frac{2}{3}\) Let \(X\) be the random variable showing the number of success as \(\therefore P(X=0)={ }^3 C_0\left(\frac{1}{3}\right)^0\left(\frac{2}{3}\right)^3=\frac{8}{27}\)…
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